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Finding the Fourth Proportional to 6,786.90, 9,362.46 and 4,232.56

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Solution

The fourth proportional to 6,786.90, 9,362.46 and 4,232.56 is: 5,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.90 : 9,362.46 = 4,232.56 : x
  2. Step 2: Convert to fraction form
    6,786.90/9,362.46 = 4,232.56/x
  3. Step 3: Cross multiply
    6,786.90x = 9,362.46 × 4,232.56
  4. Step 4: Simplify right side
    6,786.90x = 39,627,173.70
  5. Step 5: Solve for x
    x = 39,627,173.70/6,786.90
  6. Step 6: Final answer
    x = 5,838.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.